Question

If a scalar field is continuous at a point, then is it also differentiable at that point?

score 908 · Answer 1 · 2018-06-15 14:19:49

908

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If a scalar field is continuous at a point, then is it also differentiable at that point?

Published on 15 Jun 2018 - 14:19

score 43 · Answer 2 · 2026-03-25 14:31:42

43

Views

Delta Epsilon proof of discontinuity example

Published on 25 Mar 2026 - 14:31

score 194 · Answer 3 · 2018-06-15 17:05:30

194

Views

$f : \mathbb R \to [-2,2]$ be a twice differentiable with $f(0)^2+ f'(0)^2=85$

Published on 15 Jun 2018 - 17:05

score 51 · Answer 4 · 2018-06-15 19:12:04

51

Views

Clarifying the definition of continuity at a point in Johnsonbaugh/Pfaffenberger Foundations of Mathematical Analysis

Published on 15 Jun 2018 - 19:12

score 104 · Answer 5 · 2018-06-16 02:46:55

104

Views

Conditions on the Pre-Image

Published on 16 Jun 2018 - 2:46

score 59 · Answer 6 · 2018-06-16 09:58:41

59

Views

Continuous function that verifies $|f(x)-f(y)|\ge|x-y|$

Published on 16 Jun 2018 - 9:58

score 501 · Answer 7 · 2018-06-16 13:18:31

501

Views

For what values of $m$ is $\frac{y^{m}(1-\cos x)}{x^{4}+2y^{2}}$ continuous at $(0,0)$?

Published on 16 Jun 2018 - 13:18

score 116 · Answer 8 · 2018-06-16 16:18:21

116

Views

If $f$ is Discontinuous and $g$ is Continous, then $f(g(x))$ is Continous

Published on 16 Jun 2018 - 16:18

score 931 · Answer 9 · 2026-03-25 03:22:15

931

Views

How can I show the action of left translation by a topological group $G$ on itself is a continuous action using the ordinary definition of continuity?

Published on 25 Mar 2026 - 3:22

score 595 · Answer 10 · 2026-03-25 17:45:15

595

Views

Functional Equation satisfying f(2x)=f(x)

Published on 25 Mar 2026 - 17:45

score 37 · Answer 11 · 2018-06-16 21:14:51

37

Views

limit of a (system) function

Published on 16 Jun 2018 - 21:14

score 81 · Answer 12 · 2026-03-29 08:35:20

81

Views

Function properties preserved under a change of metrics?

Published on 29 Mar 2026 - 8:35

score 562 · Answer 13 · 2026-03-28 10:27:18

562

Views

Prove that $\sum_{n=0}^\infty\frac{\cos (n^2x)}{2^{nx}}$ is continuous for $x> 0$

Published on 28 Mar 2026 - 10:27

score 72 · Answer 14 · 2026-03-28 20:07:10

72

Views

$\mathbb{C}$ similar to $\mathbb{R^2}$ for some properties

Published on 28 Mar 2026 - 20:07

score 107 · Answer 15 · 2026-03-28 10:27:00

107

Views

Uniform Convergence and Continuous Functions at Boundary

Published on 28 Mar 2026 - 10:27

List Question

If a scalar field is continuous at a point, then is it also differentiable at that point?

Delta Epsilon proof of discontinuity example

$f : \mathbb R \to [-2,2]$ be a twice differentiable with $f(0)^2+ f'(0)^2=85$

Clarifying the definition of continuity at a point in Johnsonbaugh/Pfaffenberger Foundations of Mathematical Analysis

Conditions on the Pre-Image

Continuous function that verifies $|f(x)-f(y)|\ge|x-y|$

For what values of $m$ is $\frac{y^{m}(1-\cos x)}{x^{4}+2y^{2}}$ continuous at $(0,0)$?

If $f$ is Discontinuous and $g$ is Continous, then $f(g(x))$ is Continous

How can I show the action of left translation by a topological group $G$ on itself is a continuous action using the ordinary definition of continuity?

Functional Equation satisfying f(2x)=f(x)

limit of a (system) function

Function properties preserved under a change of metrics?

Prove that $\sum_{n=0}^\infty\frac{\cos (n^2x)}{2^{nx}}$ is continuous for $x> 0$

$\mathbb{C}$ similar to $\mathbb{R^2}$ for some properties

Uniform Convergence and Continuous Functions at Boundary

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